End Test Now

A 30 m steel tape having an area of cross-section of is standardized at , supported under a tension of 5.45 N. It is used to measure a horizontal distance of 81.15 m under an applied tension of 9.09 N. The error, due to incorrect pulling arrangement in this observation, in m is

0.148

0.295

1.820

3.640

The coefficient of variation of a dataset is measured by

The value of (cos x) dx is

Assuming sin(1) = 0.841 and sin(3) = 0.141, the Lagrangian linear interpolating polynomial, for the function f(x) = sin(x) defined on the interval [1, 3] and passing through the end points of the interval, is

-0.35x + 1.19

-3.05x +11.92

-35.00x +119.10

-40.50x + 219.19

If Poisson’s ratio of a rock sample is 0.25, then the relationship among the modulus of elasticity (E), modulus of rigidity (G) and bulk modulus (K) is

E = K = G

E > G > K

E = G > K

E > K > G

The order differential equation having a solution y = (A / x) + B, where A and B are constants, is

A cylindrical rock specimen is uniaxially loaded under compression and fails at 50 MPa. The fracture plane is inclined at an angle of with the axial direction. The normal and shear stresses respectively on the failure plane in MPa are

50, 50

0, 50

50, 0

25, 25

A uniformly distributed load of 20 kN/m is acting on a 15 m long cantilever beam AB of area of cross section 2 m x 2 m, as shown in the figure. The beam is fixed at point A. The modulus of elasticity of the material is 1.0 GPa.

0.004

0.020

0.071

0.190

In a surface mine, sound pressure level at a location generated by operation of a dozer and a drill respectively are 80 dBA and 60 dBA, when operated independently. The sound pressure generated by the dozer compared to the drill is higher by a factor of

10

20

100

200

As per the Indian Electricity Rules 1956, the maximum permissible length of a flexible cable used with an electric rope shovel in m is

300

500

The equipment that is NOT used in hard rock metal mining drivage is

road header

drill jumbo

jack hammer

dint header

The roof bolt that follows the principle of point anchorage is

expansion shell bolt

full column grouted bolt

split set bolt

swellex bolt

Equipment used in mining of placer deposits is

auger

wagon drill

rope saw

riffle box

A dump truck powered by 350 kW engine is running at a speed of 35 km/h. Considering the transmission efficiency of the truck as 85%, the rim pull of the truck in kN is

21

31

41

51

Nystagmus is a miner’s disease associated with

lever

lung

eye

stomach

Apart from mining of coal, the longwall mining method has been practiced for mining the deposits of

copper

lead and zinc

manganese

pyrite and phosphate

The three segments, whose synchronous functioning is essential for GPS operations, are

space, control and user

signal, control and user

space, control and geo-registration

signal, control and geo-registration

When a double ended ranging drum shearer cuts coal in a longwall face,

both the drums rotate in the same direction keeping the front drum up and the rear drum down

both the drums rotate in the opposite direction keeping the front drum up and the rear drum down

both the drums rotate in the opposite direction keeping the front drum down and the rear drum up

both the drums rotate in the same direction keeping the front drum down and the rear drum up

The match the following

P-1, Q-2, R-3, S-4

P-3, Q-4, R-1, S-2

P-2, Q-1, R-4, S-3

P-2, Q-1, R-3, S-4

Continuous miner and shuttle car combination is NOT applicable in mining with

rib pillar extraction technique

Wangawilli system

room and pillar method

longwall method

Contours in a topographic map

are not closed upon themselves although the earth is a continuous surface

are not perpendicular to the direction of maximum slope

provide an indication of presence of valley or ridge in the area

are the lines joining the points of same declination at different elevations

A Dragger Gas Mask DOES NOT filter

water vapour

nitrous fumes

carbon monoxide

carbon dioxide

A system consists of four elements A, B, C and D which are connected functionally in a parallel configuration. The individual reliability of the elements is 0.80, 0.82, 0.85 and 0.90 respectively. The reliability of the system is

0.498

0.602

0.750

0.999

The blasting technique used for controlled throw of overburden is known as

cast blasting

coyote blasting

plaster shooting

pop shooting

The stoping method, where a large part of blasted ore is allowed to accumulate in the stope to serve the purpose of providing working platform for stoping as well as to support the wall-rock, is known as

shrinkage stoping

cut and fill stoping

square-set stoping

sublevel stoping

The injury rates of mine workers in an underground coal mine based on age group are given below:

0.24

2.44

8.80

24.40

A shearer is deployed in a mine where the specific energy consumption for cutting coal is 800 . The specific gravity of coal is 1.2. If the machine produces 700 te/h, the electrical power consumption in kW of the shearer at 65% motor efficiency is

149.4

199.4

219.4

239.4

The figure shows a weightless beam PQ of length 8 m resting on a hinge support at P and on a roller support at R. A vertical force of 40 N is acting at a distance of 4 m from P. A uniformly distributed load of 10 N/m is acting on a length of 2 m of the beam from Q.

30

40

50

The figure shows the distance vs time graph of a moving particle. The tangents to the curve at A and B make angles of respectively with the time axis.

0.72

1.38

1.58

1.75

The gear ratios of the first gear, transfer case and differential of a four wheel drive vehicle are 3.81:1, 2.72:1 and 4.11:1 respectively. If the engine is rotating at 1000 rpm and the wheel diameter is 1.2 m, the speed of the vehicle in first gear in km/h is

5.31

3.68

2.42

1.68

An iron ore mine recorded an average of 3 accidents per month. The number of accidents is distributed according to Poisson distribution. The probability that there will be exactly 2 accidents per month is

0.22

0.30

0.43

0.67

Match the following:

P-2, Q-4, R-3, S-1

P-4, Q-2, R-1, S-3

P-4, Q-3, R-1, S-2

P-2, Q-4, R-1, S-3

The torque in N-m of a winder motor is described by the relationship T =1450 – 3.2, where is the angular speed of the motor in rad/s. If the shaft is rotating at a speed of 1450 rpm, the power of the motor in kW is

112.4

146.4

184.4

212.4

An investment of Rs. 10,000, compounded annually, is estimated to return Rs. 20,000 after 6 years from the date of investment. The expected rate of return on this investment in percentage is

8.75

10.50

12.25

16.6

A spherical droplet of water, with density 1000 and diameter of 1 , is falling in air. The viscosity of air is kg/m.s. Neglecting air density and assuming that the settling of droplet in air follows Stokes’ Law, the settling velocity in m/s is

A mining company has three mines (M1, M2 and M3) that supply coal to three power plants (P1, P2 and P3). The three mines produce 900, 1000 and 1200 te of coal per day respectively. The power plant requirements from these three mines are 1200, 1000 and 900 te per day respectively. The unit cost of transporting coal from the three mines to the three power plants in Rs. is given below

31200

31400

32800

40000

The angle between the tangents to the curve at the point t = 1 is

The chip sampling data, spaced irregularly for a gold vein deposit, are shown in figure. The sample points have equal influence on both the sides.

6.52

5.50

5.19

4.50

A series of triaxial tests of sandstone samples reveal the cohesion and the angle of internal friction as 21.65 MPa and respectively. Based on the assumption that the sandstone samples follow the Mohr-Coulomb’s failure criteria, the tensile strength in MPa is

12.50

18.75

21.65

25.00

The adjusted values of departure and latitude for a traverse line AB obtained in a field survey of a mine are 225.520 m and 388.835 m respectively. The length in m and azimuth of line AB are

The figure shows the values of seven perpendicular offsets and the respective locations along the line XY as observed while carrying out a traverse survey. The area of the plot XABCDEFGY in is

26.10

43.38

44.92

62.50

In a longwall panel, the main gate road is 1000 m long, 4.5 m wide and 2 m high. The gate road is to be used for airflow at the rate of 17 . Considering a coefficient of resistance of airways of 0.01, the pressure in Pa required to maintain the airflow in the gate road is

51.83

463.84

875.98

7885.32

The cofactor matrix of P = is

P-2, Q-1, R- 4, S-3

P-4, Q-1, R-3, S-2

P-4, Q-2, R-3, S-1

An opencast mine bench has a potential failure plane AC as indicated in figure. Bolts are installed to stabilize the failure plane providing a resultant bolting force of 300 kN. The area of sliding block ABC is 37.45 . The unit weight, cohesion and angle of internal friction of rock are 25 20 kPa and respectively.

0.79

1.08

1.78

3.46

Figure shows a two pulley system for hoisting a load of 10 kN. The coefficient of friction between each pulley and the rope is 0.2. The vertical and horizontal distances between the centers of the pulleys are 25 m and 16 m respectively.

6.00, 5.38

12.37, 11.06

18.74, 16.73

25.11, 22.41

A circular tunnel of 1.85 m radius is driven in rock in a hydrostatic stress field of 20 MPa. The tunnel lining is provided before occurrence of any rock deformation. The shear modulus of rock is 2 GPa and the modulus of elasticity of lining material is 3 GPa. Assuming both rock and lining behave elastically, the radial pressure on the rock and lining interface in MPa is

8.19

9.91

11.62

13.33

Common Data for Questions 48 and 49: A 2.5 m thick coal seam lying at an average depth of 100 m has been developed by bord and pillar method. The width of the square pillars is 30 m (centre to centre) and the gallery width is 4 m. The average density of the overlying strata is 26 and the pillar strength is 4500 .

Extraction ratio during the development of the pillar is

0.129

0.218

0.249

The safety factor of the pillar is

1.1

1.3

1.5

1.7

Common Data for Questions 50 and 51: The following data are provided for a surface mine to be excavated by a shovel:

The annual production target in Mte is

5.76

7.00

9.00

The size of bucket of the shovel in is

5.55

9.33

11.22

13.55

Statement for Linked Answer Questions 52 and 53: A mining project is composed of five activities whose three time estimates in months are given below:

5

16

18

29

The standard deviation of the project length in months is

2

3

6

9

Statement for Linked Answer Questions 54 and 55:

In a mine between upcast shaft and downcast shaft, two airways are connected in parallel and their resistances are 100 and 120 N respectively. The resistance of upcast shaft, downcast shaft and the fan drifts are 10, 20 and 5 N respectively. The fan drift air pressure is 15 .

The rate of airflow through the mine in is

4.16

18.26

240.35

333.33

The rate of airflow through the split airway having resistance of 100 N is

0.42

2.19

7.90

Choose the most appropriate alternative from the options given below to complete the following sentence:

I _____ to have bought a diamond ring.

have a liking

should have liked

would like

may like

Food prices ______ again this month.

have raised

have been raising

have been rising

have arose

The administrators went on to implement yet another unreasonable measure, arguing that the measures were already _____ and one more would hardly make a difference.

reflective

utopian

luxuriant

unpopular

To those of us who had always thought him timid, his _____ came as a surprise.

intrepidity

inevitability

inability

inertness

The arithmetic mean of five different natural numbers is 12. The largest possible value among the numbers is

12

60

Two policemen, A and B, fire once each at the same time at an escaping convict. The probability that A hits the convict is three times the probability that B hits the convict. If the probability of the convict not getting injured is 0.5, the probability that B hits the convict is

0.14

0.33

0.40

The total runs scored by four cricketers P, Q, R, and S in years 2009 and 2010 are given in the following table:

P

Q

R

S

If a prime number on division by 4 gives a remainder of 1, then that number can be expressed as

sum of squares of two natural numbers

sum of cubes of two natural numbers

sum of square roots of two natural numbers

sum of cube roots of two natural numbers

Two points (4, p) and (0, q) lie on a straight line having a slope of 3/4. The value of (p – q) is

- 3

0

4

In the early nineteenth century, theories of social evolution were inspired less by Biology than by the conviction of social scientists that there was a growing improvement in social institutions. Progress was taken for granted and social scientists attempted to discover its laws and phases.

Which one of the following inferences may be drawn with the greatest accuracy from the above passage?

Social scientists

did not question that progress was a fact.

did not approve of Biology.

framed the laws of progress.

emphasized Biology over Social Sciences

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